768004000 has 96 divisors (see below), whose sum is σ = 1906671312. Its totient is φ = 304000000.

The previous prime is 768003991. The next prime is 768004001. The reversal of 768004000 is 400867.

It can be written as a sum of positive squares in 8 ways, for example, as 38787984 + 729216016 = 6228^2 + 27004^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (768004001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403050 + ... + 404950.

Almost surely, 2^768004000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953335656).

768004000 is an abundant number, since it is smaller than the sum of its proper divisors (1138667312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

768004000 is a wasteful number, since it uses less digits than its factorization.

768004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 768004000 is about 27712.8850897917. The cubic root of 768004000 is about 915.7729839208.

Adding to 768004000 its reverse (400867), we get a palindrome (768404867).

The spelling of 768004000 in words is "seven hundred sixty-eight million, four thousand".